{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,2]],"date-time":"2026-03-02T10:12:00Z","timestamp":1772446320138,"version":"3.50.1"},"reference-count":0,"publisher":"MDPI AG","issue":"6","license":[{"start":{"date-parts":[[2024,5,25]],"date-time":"2024-05-25T00:00:00Z","timestamp":1716595200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12201275"],"award-info":[{"award-number":["12201275"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["21YJCZH204"],"award-info":[{"award-number":["21YJCZH204"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["JYTZD2023072"],"award-info":[{"award-number":["JYTZD2023072"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Ministry of Education in China of Humanities and Social Science Project","award":["12201275"],"award-info":[{"award-number":["12201275"]}]},{"name":"Ministry of Education in China of Humanities and Social Science Project","award":["21YJCZH204"],"award-info":[{"award-number":["21YJCZH204"]}]},{"name":"Ministry of Education in China of Humanities and Social Science Project","award":["JYTZD2023072"],"award-info":[{"award-number":["JYTZD2023072"]}]},{"name":"Liaoning Provincial Department of Education","award":["12201275"],"award-info":[{"award-number":["12201275"]}]},{"name":"Liaoning Provincial Department of Education","award":["21YJCZH204"],"award-info":[{"award-number":["21YJCZH204"]}]},{"name":"Liaoning Provincial Department of Education","award":["JYTZD2023072"],"award-info":[{"award-number":["JYTZD2023072"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>In this paper, we propose a modified spectral conjugate gradient (MSCG) method for solving absolute value equations associated with second-order cones (SOCAVEs). Some properties of the SOCAVEs are analyzed, and the global convergence of the MSCG method is discussed in depth. 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